41133984 has 48 divisors (see below), whose sum is σ = 108995040. Its totient is φ = 13582080.

The previous prime is 41133949. The next prime is 41133991. The reversal of 41133984 is 48933114.

41133984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×41133984³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8499 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (2270730).

Almost surely, 2^41133984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54497520).

41133984 is an abundant number, since it is smaller than the sum of its proper divisors (67861056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41133984 is a wasteful number, since it uses less digits than its factorization.

41133984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4045 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 41133984 is about 6413.5780965074. The cubic root of 41133984 is about 345.1969302065.

The spelling of 41133984 in words is "forty-one million, one hundred thirty-three thousand, nine hundred eighty-four".